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Finding the Fourth Proportional to 318,444.14, 477,671.00 and 81,781.58

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Solution

The fourth proportional to 318,444.14, 477,671.00 and 81,781.58 is: 122,673.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,444.14 : 477,671.00 = 81,781.58 : x
  2. Step 2: Convert to fraction form
    318,444.14/477,671.00 = 81,781.58/x
  3. Step 3: Cross multiply
    318,444.14x = 477,671.00 × 81,781.58
  4. Step 4: Simplify right side
    318,444.14x = 39,064,686,302.92
  5. Step 5: Solve for x
    x = 39,064,686,302.92/318,444.14
  6. Step 6: Final answer
    x = 122,673.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.